107081829 has 12 divisors (see below), whose sum is σ = 155235756. Its totient is φ = 71128512.

The previous prime is 107081809. The next prime is 107081857. The reversal of 107081829 is 928180701.

It can be written as a sum of positive squares in 2 ways, for example, as 11492100 + 95589729 = 3390^2 + 9777^2 .

It is not a de Polignac number, because 107081829 - 2⁸ = 107081573 is a prime.

It is a super-2 number, since 2×107081829² = 22933036203970482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107081793 and 107081802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107081809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18984 + ... + 23969.

It is an arithmetic number, because the mean of its divisors is an integer number (12936313).

Almost surely, 2^107081829 is an apocalyptic number.

It is an amenable number.

107081829 is a deficient number, since it is larger than the sum of its proper divisors (48153927).

107081829 is a wasteful number, since it uses less digits than its factorization.

107081829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43236 (or 43233 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 107081829 is about 10348.0350308646. The cubic root of 107081829 is about 474.8669307764.

The spelling of 107081829 in words is "one hundred seven million, eighty-one thousand, eight hundred twenty-nine".